6101328900000 has 576 divisors, whose sum is σ = 21714001464960. Its totient is φ = 1493913600000.

The previous prime is 6101328899993. The next prime is 6101328900011. The reversal of 6101328900000 is 98231016.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209085411 + ... + 209114589.

It is an arithmetic number, because the mean of its divisors is an integer number (37697919210).

Almost surely, 2^{6101328900000} is an apocalyptic number.

6101328900000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6101328900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10857000732480).

6101328900000 is an abundant number, since it is smaller than the sum of its proper divisors (15612672564960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6101328900000 is a wasteful number, since it uses less digits than its factorization.

6101328900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29275 (or 29247 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 6101328900000 in words is "six trillion, one hundred one billion, three hundred twenty-eight million, nine hundred thousand".